State the Mean Value Theorem. Use the Intermediate Value Theorem and the Mean Value Theorem to show that the equation 1+2x+x3+4x5 = 0 1 + 2 x + x 3 + 4 x 5 = 0 has exactly one real root.

Jonathan Nevitt, Gregory R. Hancock, Improving the Root Mean Square Error of Approximation for Nonnormal Conditions in Structural Equation Modeling, The Journal of ...